Given numbers are 119,498,467,460,638

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 119,498,467,460,638 is 2030540722980.

Find LCM of 119,498,467,460,638 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 119 x 249 x 467 x 230 x 319 = 2030540722980

Therefore, the lowest common multiple of 119,498,467,460,638 is 2030540722980.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

119 x 498 x 467 x 460 x 638 = 8122162891920

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

119 : 1, 7, 17, 119

498 : 1, 2, 3, 6, 83, 166, 249, 498

467 : 1, 467

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,498,467,460,638, is 1.

Now, the common factors can be found like this.

119:7x 17

498:2x 3x 83

467:467

460:2x 2x 5x 23

638:2x 11x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 8122162891920/(1x4)

LCM = 8122162891920/4

LCM = 2030540722980

Thus, we can understand that the LCM of 119,498,467,460,638 is 2030540722980.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 613, 286, 637, 726, 396
• LCM of 146, 928, 897, 415, 651
• LCM of 900, 429, 730, 948, 166
• LCM of 750, 994, 111, 958, 658
• LCM of 959, 789, 287, 747, 738

1. What is the LCM of 119, 498, 467, 460, 638?

Answer: LCM of 119, 498, 467, 460, 638 is 2030540722980.

2. How to calculate the LCM of 119, 498, 467, 460, 638?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 119, 498, 467, 460, 638.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.